Answer:
the 2 images are the solutions to the questions
Quadrilateral ABCD is inscribed in the circle. Which sentence is true?
1 answer:
Answer:
A) A and B are supplementary
Step-by-step explanation:
we know that
For any inscribed quadrilateral in the circle , opposite angles will be supplementary
so
In this problem
Angle A and Angle B are supplementary angles
Angle B and Angle D are supplementary angles
therefore
<u><em>The sentences that are true </em></u>
A) A and B are supplementary
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Answer:
Step-by-step explanation:
The greatest common divisor between 9 and 20 is 1, so we know the equation has a solution. A solution can be found either by inspection, or by applying Euclidean algorithm.
By inspection we just list some multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99
and also list some mutiples of 20:
20, 40, 60, 80, 100, 120
And so we see that we can find a multiple of 9 (81) which is 1 away from a multiple of 20 (80). Which is the solution given at the start.
For the Euclidean algorithm, we should divide the greatest of the two numbers, by the smallest one, and keep track of the remainder:
20 = 9 * 2 + 2
Then we divide 9 by the remainder we got, which is 2:
9 = 2 * 4 + 1
we would continue doing this until getting a remainder of 1 (which we just did). Finally we "solve" for 1, from the last equation:
9 - 2*4 = 1
And then we solve for 2 from the first equation, and plug that in into the previous equation:
20 - 9*2 =2
9 - ( 20 - 9*2)*4 = 1
which does give us the same solution: